Bjorken Scaling For Inclusive and QuasiInclusive Processes in the DualResonance Model
Abstract
From a dualresonance model with currents included through the minimal gauge interaction, the deepinelastic electron scattering is considered. It gives the Bjorken scaling for νW_{2} while W_{1} vanishes, a property which is common among the models where the current is coupled to bosons. Scaling occurs because of the existence of a currentalgebra fixed pole. Deepinelastic electron scattering with one detected finalstate particle is also considered which, following Mueller, is connected with the discontinuity of a sixpoint amplitude. In a special kinematic region, three out of four structure functions scale because of a fixed pole, while outside this region the fixed pole cannot be responsible for scaling anymore. Then a speculation of Pomeranchukon assignment does show the scaling. Inelastic Compton scattering is also considered which, in the parton model of Bjorken and Paschos, scales and is proportional to νW_{2}. This property is satisfied in the present model. Electronpositron annihilation into hadrons is considered without renormalization whose cross section falls off as s^{52}. It is suggested that a proper dual renormalization for the selfmass diagram of the photon may change this result.
 Publication:

Physical Review D
 Pub Date:
 January 1972
 DOI:
 10.1103/PhysRevD.5.427
 Bibcode:
 1972PhRvD...5..427C